OrthoSkillVLA: Continual Skill Learning via Gradient-Informed Skill Subspace Adaptation
Authors: Jiaqi Wang, Zhou Fang, Qiongfeng Shi, Yi Zhou
Organizations: School of Computer Science and Engineering, Southeast University, China · Key Laboratory of New Generation Artificial Intelligence Technology and Its Interdisciplinary Applications, Ministry of Education, China · School of Electronic Science and Engineering, Southeast University, China
Pretrained Vision-Language-Action models provide a strong foundation for robot learning, but sequentially adapting them to diverse skills can perturb the representations and velocity mappings used by previous skills, leading to catastrophic forgetting. Architecture-based approaches improve retention by isolating skills but lead to increased inference footprint. Recent subspace-constrained methods restrict parameter updates in an orthogonal subspace to minimize interference but impose a unified constraint on the entire model. We analyze the distinct roles of internal VLA components and identify two VLA-specific challenges. First, the VLM maintains broad semantic representations, making it vulnerable to capacity exhaustion, whereas the ActionHead refines semantics into localized velocity patterns that are highly sensitive to perturbations. Second, the final velocity decoder serves as a readout layer. Freezing it forms an output-stage expressivity bottleneck, while updating it risks overwriting previous velocity mappings. To this end, we propose OrthoSkillVLA, a parameter-efficient framework for continual skill learning in pretrained VLA models without demonstration replay. Given the representation heterogeneity, we impose separate subspace constraints on the VLM and ActionHead, preserving reusable semantic capacity while protecting localized velocity patterns. For the output layer, we introduce a lightweight feature-aware MoE decoder, where each skill is allocated a compact expert and a training-free router selects the expert according to feature-space affinity. Extensive simulated and real-world evaluations, together with ablations, demonstrate that OrthoSkillVLA better preserves prior skills while acquiring new ones.
Figures & tables
Figure 1: Overview of OrthoSkillVLA. For the VLM and ActionHead, OrthoSkillVLA constrains new skill learning to gradient-informed orthogonal subspaces with module-specific budgets, preserving reusable semantic capacity while protecting localized velocity patterns. For the final velocity decoder, it allocates a compact expert for each skill, and selects experts through a training-free projection router based on feature-space affinity.
Figure 2: Simulation results under skill-incremental continual learning. (a) Average success rate on seen skills. (b) Skill-wise success matrices across learning phases.
Method
FWT ↑
NBT ↓
AUC ↑
Final SR (%) ↑
SeqLoRA [ 20 ]
0.92±0.04
0.89±0.05
0.58±0.03
32.44±3.31
IncLoRA [ 20 ]
0.90±0.03
0.83±0.06
0.58±0.01
34.11±1.70
EWC [ 7 ]
0.73±0.02
0.68±0.04
0.46±0.04
25.17±4.38
OLoRA [ 22 ]
0.88±0.10
0.85±0.10
0.54±0.07
30.50±4.34
KeepLoRA [ 14 ]
0.90±0.05
0.46±0.16
0.72±0.02
56.61±7.22
OrthoSkillVLA
0.94 ± 0.03
0.13 ± 0.06
0.88 ± 0.01
83.50 ± 1.42
Table 1: Comparison of continual learning metrics across different methods in the simulated skill-incremental setting. The best results are highlighted in bold .
KeepLoRA [ 14 ]
OrthoSkillVLA
Training Phase
Flip
Pick
Push
Press
Flip
Pick
Push
Press
Phase 1: Learn Flip
16
—
—
—
19
—
—
—
Phase 2: Learn Pick
14
18
—
—
18
20
—
—
Phase 3: Learn Push
11
13
15
—
15
17
19
—
Phase 4: Learn Press
11
12
15
19
16
16
17
20
Table 2: Real-world success rates during continual skill learning phases for 20 trials. We compare the KeepLoRA [ 14 ] baseline and OrthoSkillVLA.
Threshold
Decoder
FWT ↑
NBT ↓
AUC ↑
Final SR (%) ↑
Unified
Frozen
0.90±0.05
0.46±0.16
0.72±0.02
56.61±7.22
Separated
Frozen
0.91±0.06
0.42±0.05
0.75±0.04
60.44±3.10
Unified
MoE
0.92±0.03
0.33±0.15
0.79±0.03
67.94±4.40
Separated
MoE
0.94±0.03
0.13±0.06
0.88±0.01
83.50±1.42
Table 3: Ablation on module-aware budgeting and MoE velocity decoding.
Figure 3: Evolution of SOR under varying unified energy thresholds.
Table 7
Figure 4: Evaluation of the training-free routing mechanism on routing accuracy (a) and success rate comparison with oracle routing (b) in our simulated benchmark.
Appendix figures & tables9 assets
Supplementary material from the paper’s appendix.
Appendix
Skill
Task instruction
OpenClose
close the bottom drawer of the cabinet
open the bottom drawer of the cabinet
close the top drawer of the cabinet
open the microwave
PickPlace
put the black bowl at the back on the plate
pick up the alphabet soup and put it in the basket
Appendix
Table 6: Task instructions of the three skills. See Figures 6 – 8 for execution snapshots.
Order ID
Skill orderings
Ordering 1
OpenClose → PickPlace → Turn
Ordering 2
OpenClose → Turn → PickPlace
Ordering 3
PickPlace → OpenClose → Turn
Appendix
Table 7: Skill orders used in the simulated continual learning experiments.
Figure 5: Qualitative comparison of model performance under the three skill orderings used in the simulated continual learning experiments.
Setting
Item
Value
Common
Optimizer
AdamW
Peak learning rate
5×10−5
Warmup steps
1000
Scheduler
cosine annealing
Batch size
16
Precision
bfloat16
Appendix
Table 8: Training configuration and baseline-specific settings used in the simulated experiments.
Rank
FWT ↑
NBT ↓
AUC ↑
Final SR(%) ↑
32
0.93 ± 0.01
0.17 ± 0.03
0.86 ± 0.02
79.50 ± 3.06
64
0.94 ± 0.03
0.13 ± 0.06
0.88 ± 0.01
83.50 ± 1.42
96
0.95 ± 0.01
0.29 ± 0.05
0.84 ± 0.02
74.06 ± 3.86
Appendix
Table 9: Ablation on the impact of the LoRA rank.
Figure 6: Visualization of the tasks in skill OpenClose .
Figure 7: Visualization of the tasks in skill PickPlace .
Figure 8: Visualization of the tasks in skill Turn .
Figure 9: Visualization of the four real-world skills, with each row showing keyframes from an autonomous rollout of Flip , Pick , Push , and Press .